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Art [367]
4 years ago
14

Steve subscribed to 10 podcasts for a total of 340 minutes. He used his two favorite tags, Hobbies & Recreation and Soliloqu

ies. Each of the Hobbies and Recreation episodes lasted about 32 minutes. Each Soliloquies episode lasted 42 minutes. To how many of each tag did Steve subscribe?
Mathematics
1 answer:
Gwar [14]4 years ago
7 0
We let x and y be the number of Hobbies & Recreation and Soliloquies episodes that Steve subscribe. The system of linear equation that best represent the given above is,
                                          x + y = 10
                                         32x + 42y = 340
The values of x and y from the system are 8 and 2, respectively. Thus Steve subscribed to 8 Hobbies & Recreation and to 2 Soliloquies episodes. 
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Which graph represents the arithmetic sequence 8 6 4 2 0
Nataliya [291]
Linear, because the points (1,8) (2,6) (3,4) etc are decreasing at a constant rate of -2.
7 0
3 years ago
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Ms. Allen asked each of her 30 students to select their favorite type of music. How many students chose Rock 1/3 chose hip hop 1
dalvyx [7]

Answer: 14

Step-by-step explanation:

Fraction that choose hip hop= 1/3

Fraction that choose rap = 1/5

Fraction that choose rock will be:

= 1 - (1/3 + 1/5)

= 1 - (5/15 + 3/15)

= 1 - 8/15

= 7/15

Number of students that choose rock will be:

= 7/15 × 30

= 7 × 2

= 14 students

We then multi

5 0
3 years ago
The sum of two numbers is -17. Their difference is 41. Find the numbers.
Mnenie [13.5K]

Answer:

the two numbers are 12 and -29

Step-by-step explanation:

let the two numbers be x and y

let the sum of the two numbers b

x+y = -17 ..................................................... equation 1

let the difference between the two numbers be

x-y = 41 ........................................................................ equation 2

from equation 1

x+y = -17 ..................................................... equation 1

x = -17 - y ............................................................... equation 3

substitute for x in equation 2

x-y = 41 ........................................................................ equation 2

-17-y -y = 41

-17 -2y = 41

-2y = 41 + 17

-2y = 58

divide both sides by -2

-2y/-2 = 58/-2

y = -29

put the value of y = -29 in equation 3

x = -17 - y ............................................................... equation 3

x = -17-(-29)

x =-17 + 29

x = 12

therefore the two numbers are 12 and -29

5 0
3 years ago
Best answer get Brainliest. 50 points.
Oliga [24]
<span>The equation would be 5x + 0.10y = 35, and since y equals 100, the 0.10y = 10. Then you get your equation which would be 5x + 10 = 35. and you can use subtraction property of equality and subtract 10 from both sides which gives you 25. So x would equal 5. In this case x represents number of dogs walked. Hope this helps! :D</span>
3 0
3 years ago
Read 2 more answers
A swimmer does 3,560 J of work in 55 s. What is the swimmer's power output? Round your answer to two significant
Vesna [10]

Answer:

64.73 Watts

Step-by-step explanation:

We are given;

  • Work done by the swimmer = 3,560 J
  • Time, t = 55 seconds

We are required to calculate the power of the swimmer;

  • We need to know that power is the rate of doing work
  • That is, Power = Work done ÷ time

Therefore;

Power of the swimmer = 3,560 Joules ÷ 55 seconds

                                      = 64.727 Watts

                                      = 64.73 Watts

Thus, the power output of the swimmer is 64.73 watts

8 0
3 years ago
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